The distance between Mario and the castle is a total of 158 pixels. Mario’s height is 1.55 meters, according to Mario Wiki. Because only 29 pixels covered the last portion of the distance Mario covered, 29 pixels / 43 pixels is 70.73%. This means the distance covered is 5.746 m. (18.85 ft.). This was done in 58 milliseconds on my second attempt at timing Mario.

5.746 m. / 0.058 s is 0.333 m/s. I have no clue how much Mario weighs, but this site says 200 lb., or 91 kg. If I use that, then KE = 1/2 mv^2 gives me 5 joules. The second time Mario does this, he isn’t even covering as much distance than he did the first, so it can be said to be less than 5 joules the second time.

When Mario is standing straight, he is 45 pixels. It’s rather marginal, but I may have also taken 2 extra pixels, so that could be the reason for the slight difference. Either way, 45 pixels here will represent 1.55 m. Because the last portion of the castle only covers 14 pixels, 14 pixels / 45 pixels is 31.11%. The castle is only 3.582 m. (11.75 ft.)

When Mario jumps on top of the castle, there isn’t any further distance between him and the castle. He’s directly on it. It takes Mario about 27 ms to jump onto the castle. The funny thing about this is that using physics for this, the castle would only be 3.5721 millimeters. I can’t even use physics for this, but if I did, here’s what I’d end up with.

Mario’s initial velocity before jumping would have been 0.2646 m/s. I’ll say the time it took for Mario to leap from the ground was 0.250 seconds. This would give Mario an acceleration of 1.0584 m/s. Taking this and Mario’s mass, the force he would produce to launch from the ground would be 96 newtons.

Because Mario doesn’t even cover any distance upon stepping on the castle, he’s not producing any joules. At this point, I’d say it’s just Mario’s weight that’s pressing down on the castle and causing it to crumble. Really, this castle could only withstand energy greater than 5 joules, but probably no less than 10.

You do know that the castle is actually a lot bigger than it's suppose to be in the video, right?That and the fact that it contains grinders, and spike pillars falling down, side and up suggests more then 5 joules.

Alpha or Omega wrote:You do know that the castle is actually a lot bigger than it's suppose to be in the video, right?That and the fact that it contains grinders, and spike pillars falling down, side and up suggests more then 5 joules.

Yeah, but I did the math anyway and it suggests more than 5 joules, but no less than 10 joules. There's a thread about this at FactPile where OriginalA talked about why the castle is small, but huge when first entering. From what I recall, Mario shrinks. He also explained that the castle could contain its mass while appearing that small, which would allow for Mario to lift the castle anyway. Or something like that. I'll have to find it, but until then, that's not an impressive feat like I thought it would be.

Alpha or Omega wrote:Wait...the castle were originally small in the first place? No one told me about this!

It's speculation, really. The reason for this is because the castle is originally large when Mario enters it, but is small when he's going to destroy it. For all we know, those castles Mario destroys may be nothing more than meant for humor. Here's the link, though. Start on post #122.

Alpha or Omega wrote:So, should I remove them as they are used for humor and change in size and mass?

I suspect it's meant for humor, but I wouldn't ask that you remove those because that's just my opinion. I don't have any evidence for it and it's not persuasive. I'd keep those up. I'm going to look at the other videos and see if I can do more physics for those as well.

I didn't read the link yesterday, but looking at it today, OriginalA's argument seems to be that size is equal to mass, when in our universe, something tiny can have a lot of mass. If OriginalA is correct about that, then it would make sense for Mario to be able to easily destroy that castle, which otherwise would not have been easily destroyed.

I posted this at Smash Boards, so I thought I'd bring it here. I tried finding Mario's average velocity using stride frequency and stride length. This is a rough estimate from the New Super Mario Bros. U. At the beginning of the video, Mario looked to have ran about 15 strides per 3 seconds, or 5 strides per second. This is his average, as he speeds up. I'd say from the image I have, Mario is 41 pixels tall. His stride is 38 px., or 143.60 centimeters long. Multiplying this by 5 strides per second gives us 7.18 m/s, or 16.06 mi/h.